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Finding the Third Proportional to 379,186 and 829,796

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Solution

The third proportional to 379,186 and 829,796 is: 1,815,893.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,186 : 829,796 = 829,796 : x
  2. Step 2: Convert to fraction form
    379,186/829,796 = 829,796/x
  3. Step 3: Cross multiply
    379,186x = 829,796 × 829,796
  4. Step 4: Simplify right side
    379,186x = 688,561,401,616
  5. Step 5: Solve for x
    x = 688,561,401,616/379,186
  6. Step 6: Final answer
    x = 1,815,893.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.